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Variate 'X' with a Recurrence Interval of a random hydrologic series with a return period. Check FAQs
xT=xm+Kzσ
xT - Variate 'X' with a Recurrence Interval?xm - Mean of the Variate X?Kz - Frequency Factor?σ - Standard Deviation of the Z Variate Sample?

General Equation of Hydrologic Frequency Analysis Example

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Here is how the General Equation of Hydrologic Frequency Analysis equation looks like with Values.

Here is how the General Equation of Hydrologic Frequency Analysis equation looks like with Units.

Here is how the General Equation of Hydrologic Frequency Analysis equation looks like.

9.328Edit=0.578Edit+7Edit1.25Edit
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General Equation of Hydrologic Frequency Analysis Solution

Follow our step by step solution on how to calculate General Equation of Hydrologic Frequency Analysis?

FIRST Step Consider the formula
xT=xm+Kzσ
Next Step Substitute values of Variables
xT=0.578+71.25
Next Step Prepare to Evaluate
xT=0.578+71.25
LAST Step Evaluate
xT=9.328

General Equation of Hydrologic Frequency Analysis Formula Elements

Variables
Variate 'X' with a Recurrence Interval
Variate 'X' with a Recurrence Interval of a random hydrologic series with a return period.
Symbol: xT
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Mean of the Variate X
Mean of the Variate X of a random hydrologic series with a return period.
Symbol: xm
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Frequency Factor
Frequency Factor which varies between 5 to 30 according to rainfall duration is a function of recurrence interval (T) and the coefficient of skew (Cs).
Symbol: Kz
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Standard Deviation of the Z Variate Sample
Standard Deviation of the Z Variate Sample follows a certain probability distribution of a hydrologic model.
Symbol: σ
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.

Other Formulas to find Variate 'X' with a Recurrence Interval

​Go Gumbel's Variate 'x' with Recurrence Interval for Practical Use
xT=xm+Kzσn-1

Other formulas in Gumbel's Method for Prediction of Flood's Peak category

​Go Reduced Variate 'Y' in Gumbel's Method
y=(1.285(xT-xm)σ)+0.577
​Go Reduced Variate concerning Return Period
yT=-(ln(ln(TrTr-1)))
​Go Reduced Variate 'Y' for given Return Period
yT=-(0.834+2.303log10(log10(TrTr-1)))
​Go Frequency Factor as applicable to Infinite Sample Size
Kz=yT-0.5771.2825

How to Evaluate General Equation of Hydrologic Frequency Analysis?

General Equation of Hydrologic Frequency Analysis evaluator uses Variate 'X' with a Recurrence Interval = Mean of the Variate X+Frequency Factor*Standard Deviation of the Z Variate Sample to evaluate the Variate 'X' with a Recurrence Interval, The General Equation of Hydrologic Frequency Analysis formula is defined as the technique used by hydrologists to predict flow values corresponding to specific return periods or probabilities along a river. Variate 'X' with a Recurrence Interval is denoted by xT symbol.

How to evaluate General Equation of Hydrologic Frequency Analysis using this online evaluator? To use this online evaluator for General Equation of Hydrologic Frequency Analysis, enter Mean of the Variate X (xm), Frequency Factor (Kz) & Standard Deviation of the Z Variate Sample (σ) and hit the calculate button.

FAQs on General Equation of Hydrologic Frequency Analysis

What is the formula to find General Equation of Hydrologic Frequency Analysis?
The formula of General Equation of Hydrologic Frequency Analysis is expressed as Variate 'X' with a Recurrence Interval = Mean of the Variate X+Frequency Factor*Standard Deviation of the Z Variate Sample. Here is an example- 9.328 = 0.578+7*1.25.
How to calculate General Equation of Hydrologic Frequency Analysis?
With Mean of the Variate X (xm), Frequency Factor (Kz) & Standard Deviation of the Z Variate Sample (σ) we can find General Equation of Hydrologic Frequency Analysis using the formula - Variate 'X' with a Recurrence Interval = Mean of the Variate X+Frequency Factor*Standard Deviation of the Z Variate Sample.
What are the other ways to Calculate Variate 'X' with a Recurrence Interval?
Here are the different ways to Calculate Variate 'X' with a Recurrence Interval-
  • Variate 'X' with a Recurrence Interval=Mean of the Variate X+Frequency Factor*Standard Deviation of the Sample of Size NOpenImg
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